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Finding the Fourth Proportional to 106,100.78, 159,151.21 and 27,215

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Solution

The fourth proportional to 106,100.78, 159,151.21 and 27,215 is: 40,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,100.78 : 159,151.21 = 27,215 : x
  2. Step 2: Convert to fraction form
    106,100.78/159,151.21 = 27,215/x
  3. Step 3: Cross multiply
    106,100.78x = 159,151.21 × 27,215
  4. Step 4: Simplify right side
    106,100.78x = 4,331,300,180.15
  5. Step 5: Solve for x
    x = 4,331,300,180.15/106,100.78
  6. Step 6: Final answer
    x = 40,822.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.